A theorem on four vertices of a convex space curve (Q1200375)
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scientific article; zbMATH DE number 95222
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A theorem on four vertices of a convex space curve |
scientific article; zbMATH DE number 95222 |
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A theorem on four vertices of a convex space curve (English)
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16 January 1993
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The paper contains the positive answer for P. Scherk's conjecture: Every smooth convex connected curve with nonzero curvature in \(\mathbb{R}^ 3\) has at least four vertices. Smoothness of curve means that it is of class \(C^ 3\).
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vertex
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convex connected curve
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0.9713316
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0.95594704
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0.9321639
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0.9287629
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0.92819357
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0.91463155
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